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efectuati calculele:[tex](-1 \frac{1}{4} )[/tex]·[tex](-1 \frac{1}{5} )-( \sqrt{0,(4)} +( \sqrt{4} - \sqrt{6})+ \sqrt{24} [/tex] =:)


Răspuns :

[tex]( -1\frac{1}{4} )*( -1\frac{1}{5} )-( \sqrt{0,(4)} +( \sqrt{4}- \sqrt{6} )+ \sqrt{24} )=( -\frac{5}{4} )*( -\frac{6}{5} )-(0.(2) \\ +(2- \sqrt{6} )+ \sqrt{6*4} )= \frac{3}{2}-0,(2)+2- \sqrt{6} +2 \sqrt{6}= \frac{3}{2}+ \frac{2}{9}+2- \sqrt{6}= \\ = \frac{27+4+36-18 \sqrt{6} }{18}= \frac{67-18 \sqrt{6} }{18} [/tex]